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2226929652 = 2233672411277
BaseRepresentation
bin1000010010111100…
…0011111111110100
312202012100202012000
42010233003333310
514030043222102
61004550455300
7106120406163
oct20457037764
95665322160
102226929652
11a43053232
12521964530
1329649cc6c
14171a8b3da
15d078b01c
hex84bc3ff4

2226929652 has 96 divisors (see below), whose sum is σ = 5888615040. Its totient is φ = 727626240.

The previous prime is 2226929651. The next prime is 2226929669. The reversal of 2226929652 is 2569296222.

It is a super-2 number, since 2×22269296522 = 9918431349913682208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2226929598 and 2226929607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226929651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1743238 + ... + 1744514.

It is an arithmetic number, because the mean of its divisors is an integer number (61339740).

Almost surely, 22226929652 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 2226929652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944307520).

2226929652 is an abundant number, since it is smaller than the sum of its proper divisors (3661685388).

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

2226929652 is a wasteful number, since it uses less digits than its factorization.

2226929652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1590 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 2226929652 is about 47190.3554977074. The cubic root of 2226929652 is about 1305.8766787318.

The spelling of 2226929652 in words is "two billion, two hundred twenty-six million, nine hundred twenty-nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 241 268 402 482 603 723 804 964 1206 1277 1446 1809 2169 2412 2554 2892 3618 3831 4338 5108 6507 7236 7662 8676 11493 13014 15324 16147 22986 26028 32294 34479 45972 48441 64588 68958 85559 96882 137916 145323 171118 193764 256677 290646 307757 342236 435969 513354 581292 615514 770031 871938 923271 1026708 1231028 1540062 1743876 1846542 2310093 2769813 3080124 3693084 4620186 5539626 8309439 9240372 11079252 16618878 20619719 33237756 41239438 61859157 82478876 123718314 185577471 247436628 371154942 556732413 742309884 1113464826 2226929652