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220121496 = 23337197739
BaseRepresentation
bin11010001111011…
…00100110011000
3120100012022221000
431013230212120
5422322341441
633501545000
75312000430
oct1507544630
9510168830
10220121496
111032865a1
1261875160
13367b0b0a
142133d2c0
15144d12b6
hexd1ec998

220121496 has 128 divisors (see below), whose sum is σ = 703296000. Its totient is φ = 62487936.

The previous prime is 220121471. The next prime is 220121509. The reversal of 220121496 is 694121022.

220121496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297495 + ... + 298233.

It is an arithmetic number, because the mean of its divisors is an integer number (5494500).

Almost surely, 2220121496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220121496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351648000).

220121496 is an abundant number, since it is smaller than the sum of its proper divisors (483174504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220121496 is a wasteful number, since it uses less digits than its factorization.

220121496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 220121496 is about 14836.4920382144. The cubic root of 220121496 is about 603.7921817679.

The spelling of 220121496 in words is "two hundred twenty million, one hundred twenty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 197 216 252 378 394 504 591 739 756 788 1182 1379 1478 1512 1576 1773 2217 2364 2758 2956 3546 4137 4434 4728 5173 5319 5516 5912 6651 7092 8274 8868 10346 10638 11032 12411 13302 14184 15519 16548 17736 19953 20692 21276 24822 26604 31038 33096 37233 39906 41384 42552 46557 49644 53208 62076 74466 79812 93114 99288 124152 139671 145583 148932 159624 186228 279342 291166 297864 372456 436749 558684 582332 873498 1019081 1117368 1164664 1310247 1746996 2038162 2620494 3057243 3493992 3930741 4076324 5240988 6114486 7861482 8152648 9171729 10481976 12228972 15722964 18343458 24457944 27515187 31445928 36686916 55030374 73373832 110060748 220121496