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2220315948 = 223423674447
BaseRepresentation
bin1000010001010111…
…0101010100101100
312201201220201220000
42010111311110230
514021400102243
61004153024300
7106010242224
oct20425652454
95651821800
102220315948
11a3a346264
1251b6b5090
13294cc5826
14170c49084
15cedd15d3
hex8457552c

2220315948 has 120 divisors (see below), whose sum is σ = 6148488192. Its totient is φ = 697203936.

The previous prime is 2220315919. The next prime is 2220315961. The reversal of 2220315948 is 8495130222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 497061 + ... + 501507.

Almost surely, 22220315948 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 2220315948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074244096).

2220315948 is an abundant number, since it is smaller than the sum of its proper divisors (3928172244).

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

2220315948 is a wasteful number, since it uses less digits than its factorization.

2220315948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2220315948 is about 47120.2286496999. The cubic root of 2220315948 is about 1304.5826330791.

The spelling of 2220315948 in words is "two billion, two hundred twenty million, three hundred fifteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 67 69 81 92 108 134 138 162 201 207 268 276 324 402 414 603 621 804 828 1206 1242 1541 1809 1863 2412 2484 3082 3618 3726 4447 4623 5427 6164 7236 7452 8894 9246 10854 13341 13869 17788 18492 21708 26682 27738 40023 41607 53364 55476 80046 83214 102281 120069 124821 160092 166428 204562 240138 249642 297949 306843 360207 409124 480276 499284 595898 613686 720414 893847 920529 1191796 1227372 1440828 1787694 1841058 2681541 2761587 3575388 3682116 5363082 5523174 6852827 8044623 8284761 10726164 11046348 13705654 16089246 16569522 20558481 24133869 27411308 32178492 33139044 41116962 48267738 61675443 82233924 96535476 123350886 185026329 246701772 370052658 555078987 740105316 1110157974 2220315948